SYNTHESIS OF A DIGITAL LOW-PASS QUASI-GAUSSIAN FILTER FOR NOISE REDUCTION IN POISSON OBSERVATIONS
V. E. Chinkin1, V. G. Getmanov1,2, I. I. Yashin1,3
a:2:{s:4:"TYPE";s:4:"HTML";s:4:"TEXT";s:235:"1Geophysical Center, Russian Academy of Sciences, Moscow, Russia
2Sсhmidt Institute of Physics of the Earth, Russian Academy of Sciences
3National Research Nuclear University MEPHI, Moscow, Russia";}
Keywords: Poisson observations, digital filtering, quasi-Gaussian filter, annealing simulation, stochastic search, global minimization
Abstract
The synthesis of a digital low-frequency quasi-Gaussian filter with a finite pulse-transient response, a unity gain at zero frequencies, and non-negative weighting factors is considered. The filter is designed to reduce noise in Poisson observations. A Gaussian function is used for the prototype filter, and an approximation functional is formed. For the synthesis, the stochastic global minimization of this functional with a modified algorithm for simulating "annealing" is used. The quasi-Gaussian filter is investigated using model and experimental Poisson observations, and its efficiency is confirmed.
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